The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros
The interval single-step procedure IS1 established by Alefeld and Herzberger (1983) has been modified. The idea of Aitken (1950) and Alefeld (1977) is used to establish the interval symmetric single-step procedure ISS1.This procedure has a faster convergence rate than does IS1. In this paper, the co...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38923/1/38923.pdf |
| _version_ | 1825949313811873792 |
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| author | Monsi, Mansor |
| author_facet | Monsi, Mansor |
| author_sort | Monsi, Mansor |
| collection | UPM |
| description | The interval single-step procedure IS1 established by Alefeld and Herzberger (1983) has been modified. The idea of Aitken (1950) and Alefeld (1977) is used to establish the interval symmetric single-step procedure ISS1.This procedure has a faster convergence rate than does IS1. In this paper, the convergence analysis of the procedure ISS1using interval arithmetic (Moore (1962, 1979), Alefeld and Herzberger (1983)) is shown. The procedure ISS1is considered as the interval version of the point symmetric single-step procedure PSS1 Monsi (2010). |
| first_indexed | 2024-03-06T08:42:39Z |
| format | Article |
| id | upm.eprints-38923 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:42:39Z |
| publishDate | 2011 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-389232015-09-04T13:05:09Z http://psasir.upm.edu.my/id/eprint/38923/ The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros Monsi, Mansor The interval single-step procedure IS1 established by Alefeld and Herzberger (1983) has been modified. The idea of Aitken (1950) and Alefeld (1977) is used to establish the interval symmetric single-step procedure ISS1.This procedure has a faster convergence rate than does IS1. In this paper, the convergence analysis of the procedure ISS1using interval arithmetic (Moore (1962, 1979), Alefeld and Herzberger (1983)) is shown. The procedure ISS1is considered as the interval version of the point symmetric single-step procedure PSS1 Monsi (2010). Institute for Mathematical Research, Universiti Putra Malaysia 2011-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38923/1/38923.pdf Monsi, Mansor (2011) The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros. Malaysian Journal of Mathematical Sciences, 5 (2). pp. 211-227. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol5no2/5.%20mansor%20monsi.pdf |
| spellingShingle | Monsi, Mansor The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros |
| title | The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros |
| title_full | The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros |
| title_fullStr | The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros |
| title_full_unstemmed | The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros |
| title_short | The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros |
| title_sort | interval symmetric single step iss1 procedure for simultaneously bounding simple polynomial zeros |
| url | http://psasir.upm.edu.my/id/eprint/38923/1/38923.pdf |
| work_keys_str_mv | AT monsimansor theintervalsymmetricsinglestepiss1procedureforsimultaneouslyboundingsimplepolynomialzeros AT monsimansor intervalsymmetricsinglestepiss1procedureforsimultaneouslyboundingsimplepolynomialzeros |